120013403314113 has 24 divisors (see below), whose sum is σ = 180013422006600. Its totient is φ = 76988217277440.

The previous prime is 120013403314109. The next prime is 120013403314253. The reversal of 120013403314113 is 311413304310021.

120013403314113 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 340 + 3 + 314 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3889998846864 + 116123404467249 = 1972308^2 + 10776057^2 .

It is not a de Polignac number, because 120013403314113 - 2² = 120013403314109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120013403310113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227641388 + ... + 2227695261.

It is an arithmetic number, because the mean of its divisors is an integer number (7500559250275).

Almost surely, 2^{120013403314113} is an apocalyptic number.

It is an amenable number.

120013403314113 is a deficient number, since it is larger than the sum of its proper divisors (60000018692487).

120013403314113 is a wasteful number, since it uses less digits than its factorization.

120013403314113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455336769 (or 4455336766 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 120013403314113 its reverse (311413304310021), we get a palindrome (431426707624134).

The spelling of 120013403314113 in words is "one hundred twenty trillion, thirteen billion, four hundred three million, three hundred fourteen thousand, one hundred thirteen".